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Finding the Third Proportional to 286,141 and 616,570

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Solution

The third proportional to 286,141 and 616,570 is: 1,328,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,141 : 616,570 = 616,570 : x
  2. Step 2: Convert to fraction form
    286,141/616,570 = 616,570/x
  3. Step 3: Cross multiply
    286,141x = 616,570 × 616,570
  4. Step 4: Simplify right side
    286,141x = 380,158,564,900
  5. Step 5: Solve for x
    x = 380,158,564,900/286,141
  6. Step 6: Final answer
    x = 1,328,570.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.